Search a number
-
+
2550223260 = 22325135320563
BaseRepresentation
bin1001100000000001…
…0101000110011100
320120201200202122100
42120000111012130
520210324121020
61101020045100
7120124353144
oct23000250634
96521622570
102550223260
111099597532
125b2093790
13318465360
141a29a5924
15edd4ba90
hex9801519c

2550223260 has 144 divisors (see below), whose sum is σ = 8488325664. Its totient is φ = 615873024.

The previous prime is 2550223241. The next prime is 2550223307. The reversal of 2550223260 is 623220552.

2550223260 is a `hidden beast` number, since 2 + 550 + 22 + 32 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113739 + ... + 134301.

It is an arithmetic number, because the mean of its divisors is an integer number (58946706).

Almost surely, 22550223260 is an apocalyptic number.

2550223260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2550223260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244162832).

2550223260 is an abundant number, since it is smaller than the sum of its proper divisors (5938102404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2550223260 is a wasteful number, since it uses less digits than its factorization.

2550223260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20639 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2550223260 is about 50499.7352468308. The cubic root of 2550223260 is about 1366.2370784116.

The spelling of 2550223260 in words is "two billion, five hundred fifty million, two hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2756 3180 3445 4134 4770 6201 6890 8268 9540 10335 12402 13780 20563 20670 24804 31005 41126 41340 61689 62010 82252 102815 123378 124020 185067 205630 246756 267319 308445 370134 411260 534638 616890 740268 801957 925335 1069276 1089839 1233780 1336595 1603914 1850670 2179678 2405871 2673190 3207828 3269517 3701340 4009785 4359356 4811742 5346380 5449195 6539034 8019570 9623484 9808551 10898390 12029355 13078068 14167907 16039140 16347585 19617102 21796780 24058710 28335814 32695170 39234204 42503721 48117420 49042755 56671628 65390340 70839535 85007442 98085510 127511163 141679070 170014884 196171020 212518605 255022326 283358140 425037210 510044652 637555815 850074420 1275111630 2550223260